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Finding the Fourth Proportional to 278,800.45, 418,208.87 and 68,438.38

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Solution

The fourth proportional to 278,800.45, 418,208.87 and 68,438.38 is: 102,659.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,800.45 : 418,208.87 = 68,438.38 : x
  2. Step 2: Convert to fraction form
    278,800.45/418,208.87 = 68,438.38/x
  3. Step 3: Cross multiply
    278,800.45x = 418,208.87 × 68,438.38
  4. Step 4: Simplify right side
    278,800.45x = 28,621,537,564.43
  5. Step 5: Solve for x
    x = 28,621,537,564.43/278,800.45
  6. Step 6: Final answer
    x = 102,659.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.